Chapter of Book
Calculating cocyclic hadamard matrices in Mathematica: exhaustive and heuristic searches
Author/s | Álvarez Solano, Víctor
Armario Sampalo, José Andrés Frau García, María Dolores Real Jurado, Pedro |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2006 |
Deposit Date | 2015-12-09 |
Published in |
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Abstract | We describe a notebook in Mathematica which, taking as input data a homological model for a finite group G of order |G| = 4t, performs an exhaustive search for constructing the whole set of cocyclic Hadamard matrices over ... We describe a notebook in Mathematica which, taking as input data a homological model for a finite group G of order |G| = 4t, performs an exhaustive search for constructing the whole set of cocyclic Hadamard matrices over G. Since such an exhaustive search is not practical for orders 4t ≥28, the program also provides an alternate method, in which an heuristic search (in terms of a genetic algorithm) is performed. We include some executions and examples |
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